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. Author manuscript; available in PMC: 2020 Sep 8.
Published in final edited form as: Icarus. 2018 Sep 25;319:312–333. doi: 10.1016/j.icarus.2018.09.032

Table 3:

Peak Frequencies

Spherical harmonic Peak of |A˜lm| Related mode Expected frequency
Y00 278 0f0 292
Y22 160 0f2 148
Y33 236 0f3 208
Y44 299 0f4 268
Y55 347 0f5 329

Notes: The spherical harmonics are listed in the first column. The peak frequencies (in N-body or gravitational units) of the amplitudes for each spherical harmonic are measured for the Be0 simulation shown in Figures 4, 5, and 6 using the spectra shown in the bottom panel of Figure 6. The simulation has an equatorial impact on the Bennu shape model. The measured frequencies are listed in the second column. The relevant normal mode frequency is shown in the third column in the form nfl. The expected frequency of this mode for the same simulation is listed in the fourth column. These frequencies are computed following section §2.2 (equations 8 and 11) for a homogenous isotropic elastic sphere with a Poisson ratio of ν =1/4 and P-wave speed of 712 in N-body units. The predicted and measured normal mode frequencies are similar implying that the mass-spring model simulations are behaving as expected.